{
  "id": "2007.15721",
  "version": "v1",
  "published": "2020-07-30T20:09:31.000Z",
  "updated": "2020-07-30T20:09:31.000Z",
  "title": "Dimension Groups and Dynamical Systems",
  "authors": [
    "Fabien Durand",
    "Dominique Perrin"
  ],
  "categories": [
    "math.DS",
    "cs.FL"
  ],
  "abstract": "We give a description of the link between topological dynamical systems and their dimension groups. The focus is on minimal systems and, in particular, on substitution shifts. We describe in detail the various classes of systems including Sturmian shifts and interval exchange shifts.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-07-30T20:09:31.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "dimension groups",
      "interval exchange shifts",
      "sturmian shifts",
      "substitution shifts",
      "minimal systems"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}